225440512 has 72 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 101729280.

The previous prime is 225440497. The next prime is 225440521. The reversal of 225440512 is 215044522.

225440512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627789 + ... + 628147.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^225440512 is an apocalyptic number.

225440512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

225440512 is an abundant number, since it is smaller than the sum of its proper divisors (269043968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225440512 is a wasteful number, since it uses less digits than its factorization.

225440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 225440512 is about 15014.6765532928. The cubic root of 225440512 is about 608.6168716073.

The spelling of 225440512 in words is "two hundred twenty-five million, four hundred forty thousand, five hundred twelve".